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Finding the Fourth Proportional to 20,494.60, 30,741.90 and 6,456.40

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Solution

The fourth proportional to 20,494.60, 30,741.90 and 6,456.40 is: 9,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.60 : 30,741.90 = 6,456.40 : x
  2. Step 2: Convert to fraction form
    20,494.60/30,741.90 = 6,456.40/x
  3. Step 3: Cross multiply
    20,494.60x = 30,741.90 × 6,456.40
  4. Step 4: Simplify right side
    20,494.60x = 198,482,003.16
  5. Step 5: Solve for x
    x = 198,482,003.16/20,494.60
  6. Step 6: Final answer
    x = 9,684.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.